Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128673j |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2561280 |
Modular degree for the optimal curve |
Δ |
-9.1375223396675E+19 |
Discriminant |
Eigenvalues |
0 3- 0 -1 6 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1463340,822037342] |
[a1,a2,a3,a4,a6] |
Generators |
[84100:2187409:64] |
Generators of the group modulo torsion |
j |
-950272000/250563 |
j-invariant |
L |
6.1274097929241 |
L(r)(E,1)/r! |
Ω |
0.18124071623761 |
Real period |
R |
1.4086720929097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891h1 128673k1 |
Quadratic twists by: -3 29 |